Details

Time bar (total: 13.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize5.0ms

Local error

Found 1 expressions with local error:

15.2b
(cbrt (/ g (* 2.0 a)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
2.0ms
(cbrt (/ g (* 2.0 a)))

series93.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(cbrt (/ g (* 2.0 a)))

simplify6.7s

Counts
19 → 19
Iterations

Useful iterations: 5 (458.0ms)

IterNodesCost
062199
194196
2159182
3335176
4855167
52788163
done5000163

prune55.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt (* 2.0 a))
0.6b
(cbrt g)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/l*
add-exp-log
associate-/r*
pow1 add-cbrt-cube add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 66
Calls
3 calls:
3.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series514.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
210.0ms
(cbrt (* 2.0 a))
181.0ms
(cbrt g)

simplify649.0ms

Counts
75 → 75
Iterations

Useful iterations: 3 (180.0ms)

IterNodesCost
0123785
1208756
2516718
31633705
done5000705

prune202.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (cbrt (* 2.0 a)))
0.3b
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
0.6b
(cbrt (* 2.0 a))
0.6b
(cbrt g)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×add-exp-log cbrt-prod
16×associate-*r*
pow1 add-cbrt-cube
associate-*l* unswap-sqr
div-exp prod-exp associate-/r* add-log-exp
pow1/3 associate-/l*
cbrt-undiv rec-exp pow-flip 1-exp cbrt-unprod div-inv
frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 101
Calls
4 calls:
3.0ms
(/ 1 (cbrt (* 2.0 a)))
12.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
1.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series743.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(/ 1 (cbrt (* 2.0 a)))
124.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
213.0ms
(cbrt (* 2.0 a))
178.0ms
(cbrt g)

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: 3 (605.0ms)

IterNodesCost
01541121
1330985
21020863
33246842
done5000842

prune233.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(cbrt (/ 1 (* 2.0 a)))
0.6b
(cbrt g)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
times-frac associate-*l*
pow1 add-exp-log
pow1/3 unswap-sqr
add-cbrt-cube add-log-exp
cbrt-div pow-prod-down div-inv
associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
9.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series478.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
195.0ms
(cbrt (/ 1 (* 2.0 a)))
178.0ms
(cbrt g)

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: 3 (200.0ms)

IterNodesCost
0109671
1200645
2532593
31750578
done5001578

prune140.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes260.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample303.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid